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Finding the Fourth Proportional to 534.74, 798.48 and 457.59

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Solution

The fourth proportional to 534.74, 798.48 and 457.59 is: 683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.74 : 798.48 = 457.59 : x
  2. Step 2: Convert to fraction form
    534.74/798.48 = 457.59/x
  3. Step 3: Cross multiply
    534.74x = 798.48 × 457.59
  4. Step 4: Simplify right side
    534.74x = 365,372.47
  5. Step 5: Solve for x
    x = 365,372.47/534.74
  6. Step 6: Final answer
    x = 683.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.